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<div class="title">ArithmeticSequence.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2017 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_ARITHMETIC_SEQUENCE_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_ARITHMETIC_SEQUENCE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">// Helper to cleanup the type of the increment:</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt; <span class="keyword">struct </span>cleanup_seq_incr {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> cleanup_index_type&lt;T,DynamicIndex&gt;::type type;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;};</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;}  <span class="comment">// namespace internal</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">//--------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">// seq(first,last,incr) and seqN(first,size,incr)</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">//--------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType=Index,<span class="keyword">typename</span> SizeType=Index,<span class="keyword">typename</span> IncrType=<span class="keywordtype">int</span>ernal::FixedInt&lt;1&gt; &gt;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">class </span>ArithmeticSequence;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;ArithmeticSequence&lt;typename internal::cleanup_index_type&lt;FirstType&gt;::type,</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                   <span class="keyword">typename</span> internal::cleanup_index_type&lt;SizeType&gt;::type,</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                   <span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type &gt;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(FirstType first, SizeType size, IncrType incr);</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classEigen_1_1ArithmeticSequence.html">   59</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1ArithmeticSequence.html">ArithmeticSequence</a></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;{</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  <a class="code" href="classEigen_1_1ArithmeticSequence.html">ArithmeticSequence</a>(FirstType <a class="code" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">first</a>, SizeType <a class="code" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">size</a>) : m_first(<a class="code" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">first</a>), m_size(<a class="code" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">size</a>) {}</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <a class="code" href="classEigen_1_1ArithmeticSequence.html">ArithmeticSequence</a>(FirstType <a class="code" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">first</a>, SizeType <a class="code" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">size</a>, IncrType incr) : m_first(<a class="code" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">first</a>), m_size(<a class="code" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">size</a>), m_incr(incr) {}</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    SizeAtCompileTime = internal::get_fixed_value&lt;SizeType&gt;::value,</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    IncrAtCompileTime = internal::get_fixed_value&lt;IncrType,DynamicIndex&gt;::value</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  };</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">   71</a></span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">size</a>()<span class="keyword">  const </span>{ <span class="keywordflow">return</span> m_size; }</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">   74</a></span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">first</a>()<span class="keyword">  const </span>{ <span class="keywordflow">return</span> m_first; }</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classEigen_1_1ArithmeticSequence.html#a34a4117a3590ccc99177449f8c47740e">   77</a></span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1ArithmeticSequence.html#a34a4117a3590ccc99177449f8c47740e">operator[]</a>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_first + i * m_incr; }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <span class="keyword">const</span> FirstType&amp; firstObject()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_first; }</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <span class="keyword">const</span> SizeType&amp;  sizeObject()<span class="keyword">  const </span>{ <span class="keywordflow">return</span> m_size; }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">const</span> IncrType&amp;  incrObject()<span class="keyword">  const </span>{ <span class="keywordflow">return</span> m_incr; }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  FirstType m_first;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  SizeType  m_size;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  IncrType  m_incr;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="keyword">auto</span> reverse() const -&gt; decltype(<a class="code" href="namespaceEigen.html">Eigen</a>::<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(m_first+(m_size+<a class="code" href="group__Core__Module.html#gac01f234bce100e39e6928fdc470e5194">fix</a>&lt;-1&gt;())*m_incr,m_size,-m_incr)) {</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(m_first+(m_size+fix&lt;-1&gt;())*m_incr,m_size,-m_incr);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  }</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;};</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;ArithmeticSequence&lt;typename internal::cleanup_index_type&lt;FirstType&gt;::type,<span class="keyword">typename</span> internal::cleanup_index_type&lt;SizeType&gt;::type,<span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type &gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">   99</a></span>&#160;<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(FirstType first, SizeType size, IncrType incr)  {</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1ArithmeticSequence.html">ArithmeticSequence&lt;typename internal::cleanup_index_type&lt;FirstType&gt;::type</a>,<span class="keyword">typename</span> internal::cleanup_index_type&lt;SizeType&gt;::type,<span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type&gt;(first,size,incr);</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;}</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType&gt;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;ArithmeticSequence&lt;typename internal::cleanup_index_type&lt;FirstType&gt;::type,<span class="keyword">typename</span> internal::cleanup_index_type&lt;SizeType&gt;::type &gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="namespaceEigen.html#ade9f918902511b83512a8e6dde5cad7a">  108</a></span>&#160;<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(FirstType first, SizeType size)  {</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1ArithmeticSequence.html">ArithmeticSequence&lt;typename internal::cleanup_index_type&lt;FirstType&gt;::type</a>,<span class="keyword">typename</span> internal::cleanup_index_type&lt;SizeType&gt;::type&gt;(first,size);</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;}</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160; </div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor">#ifdef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> LastType, <span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">  124</a></span>&#160;<span class="keyword">auto</span> <a class="code" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">seq</a>(FirstType f, LastType l, IncrType incr);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> LastType&gt;</div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="namespaceEigen.html#ad87fbafd4a91f5c1ed6a768987a1b74d">  136</a></span>&#160;<span class="keyword">auto</span> <a class="code" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">seq</a>(FirstType f, LastType l);</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="preprocessor">#else </span><span class="comment">// EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> LastType&gt;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="keyword">auto</span> <a class="code" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">seq</a>(FirstType f, LastType l) -&gt; decltype(<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f),</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                                                   (  <span class="keyword">typename</span> internal::cleanup_index_type&lt;LastType&gt;::type(l)</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                                                    - <span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f)+fix&lt;1&gt;())))</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;{</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f),</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;              (<span class="keyword">typename</span> internal::cleanup_index_type&lt;LastType&gt;::type(l)</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;               -<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f)+fix&lt;1&gt;()));</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;}</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160; </div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> LastType, <span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="keyword">auto</span> <a class="code" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">seq</a>(FirstType f, LastType l, IncrType incr)</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  -&gt; decltype(<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f),</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                   (   <span class="keyword">typename</span> internal::cleanup_index_type&lt;LastType&gt;::type(l)</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                     - <span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f)+<span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type(incr)</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                   ) / <span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type(incr),</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                   <span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type(incr)))</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;{</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::cleanup_seq_incr&lt;IncrType&gt;::type CleanedIncrType;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f),</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;              ( <span class="keyword">typename</span> internal::cleanup_index_type&lt;LastType&gt;::type(l)</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;               -<span class="keyword">typename</span> internal::cleanup_index_type&lt;FirstType&gt;::type(f)+CleanedIncrType(incr)) / CleanedIncrType(incr),</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;              CleanedIncrType(incr));</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;}</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160; </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160; </div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="keyword">namespace </span>placeholders {</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160; </div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="keyword">auto</span> lastN(SizeType size, IncrType incr)</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;-&gt; decltype(<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<a class="code" href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a>-(size-fix&lt;1&gt;())*incr, size, incr))</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;{</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<a class="code" href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a>-(size-fix&lt;1&gt;())*incr, size, incr);</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;}</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160; </div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> SizeType&gt;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="keyword">auto</span> lastN(SizeType size)</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;-&gt; decltype(<a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<a class="code" href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a>+fix&lt;1&gt;()-size, size))</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;{</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">seqN</a>(<a class="code" href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a>+fix&lt;1&gt;()-size, size);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;}</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160; </div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;}  <span class="comment">// namespace placeholders</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160; </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="comment">// Convert a symbolic span into a usable one (i.e., remove last/end &quot;keywords&quot;)</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="keyword">struct </span>make_size_type {</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  <span class="keyword">typedef</span> std::conditional_t&lt;symbolic::is_symbolic&lt;T&gt;::value, <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>, T&gt; type;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;};</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160; </div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType,<span class="keywordtype">int</span> XprSize&gt;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="keyword">struct </span>IndexedViewCompatibleType&lt;ArithmeticSequence&lt;FirstType,SizeType,IncrType&gt;, XprSize&gt; {</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  <span class="keyword">typedef</span> ArithmeticSequence&lt;Index,typename make_size_type&lt;SizeType&gt;::type,IncrType&gt; type;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;};</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;ArithmeticSequence&lt;Index,typename make_size_type&lt;SizeType&gt;::type,IncrType&gt;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;makeIndexedViewCompatible(<span class="keyword">const</span> ArithmeticSequence&lt;FirstType,SizeType,IncrType&gt;&amp; ids, <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size,SpecializedType) {</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  <span class="keywordflow">return</span> ArithmeticSequence&lt;Index,typename make_size_type&lt;SizeType&gt;::type,IncrType&gt;(</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            eval_expr_given_size(ids.firstObject(),size),eval_expr_given_size(ids.sizeObject(),size),ids.incrObject());</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;}</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160; </div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> FirstType,<span class="keyword">typename</span> SizeType,<span class="keyword">typename</span> IncrType&gt;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="keyword">struct </span>get_compile_time_incr&lt;ArithmeticSequence&lt;FirstType,SizeType,IncrType&gt; &gt; {</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  <span class="keyword">enum</span> { value = get_fixed_value&lt;IncrType,DynamicIndex&gt;::value };</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;};</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160; </div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keyword">namespace </span>indexing {</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  <span class="keyword">using</span> <a class="code" href="group__Core__Module.html#gac01f234bce100e39e6928fdc470e5194">Eigen::fix</a>;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;  <span class="keyword">using</span> <a class="code" href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">Eigen::seq</a>;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;  <span class="keyword">using</span> <a class="code" href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">Eigen::seqN</a>;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;  <span class="keyword">using</span> <a class="code" href="group__Core__Module.html#ga4abe6022fbef6cda264ef2947a2be1a9">Eigen::placeholders::all</a>;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  <span class="keyword">using</span> <a class="code" href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a>;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  <span class="keyword">using</span> Eigen::placeholders::lastN;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  <span class="keyword">using</span> <a class="code" href="group__Core__Module.html#gaacce501a0e5f8d0fcd1eb92f9fa3c6e5">Eigen::placeholders::lastp1</a>;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;}</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160; </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160; </div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_ARITHMETIC_SEQUENCE_H</span></div>
<div class="ttc" id="aclassEigen_1_1ArithmeticSequence_html"><div class="ttname"><a href="classEigen_1_1ArithmeticSequence.html">Eigen::ArithmeticSequence</a></div><div class="ttdef"><b>Definition:</b> ArithmeticSequence.h:60</div></div>
<div class="ttc" id="aclassEigen_1_1ArithmeticSequence_html_a34a4117a3590ccc99177449f8c47740e"><div class="ttname"><a href="classEigen_1_1ArithmeticSequence.html#a34a4117a3590ccc99177449f8c47740e">Eigen::ArithmeticSequence::operator[]</a></div><div class="ttdeci">Index operator[](Index i) const</div><div class="ttdef"><b>Definition:</b> ArithmeticSequence.h:77</div></div>
<div class="ttc" id="aclassEigen_1_1ArithmeticSequence_html_a780ee27a63b77d4f34f74d8ca2381d12"><div class="ttname"><a href="classEigen_1_1ArithmeticSequence.html#a780ee27a63b77d4f34f74d8ca2381d12">Eigen::ArithmeticSequence::first</a></div><div class="ttdeci">Index first() const</div><div class="ttdef"><b>Definition:</b> ArithmeticSequence.h:74</div></div>
<div class="ttc" id="aclassEigen_1_1ArithmeticSequence_html_aef60a3585c1551c77e6dbf568b06c485"><div class="ttname"><a href="classEigen_1_1ArithmeticSequence.html#aef60a3585c1551c77e6dbf568b06c485">Eigen::ArithmeticSequence::size</a></div><div class="ttdeci">Index size() const</div><div class="ttdef"><b>Definition:</b> ArithmeticSequence.h:71</div></div>
<div class="ttc" id="agroup__Core__Module_html_ga4abe6022fbef6cda264ef2947a2be1a9"><div class="ttname"><a href="group__Core__Module.html#ga4abe6022fbef6cda264ef2947a2be1a9">Eigen::placeholders::all</a></div><div class="ttdeci">static const Eigen::internal::all_t all</div><div class="ttdef"><b>Definition:</b> IndexedViewHelper.h:189</div></div>
<div class="ttc" id="agroup__Core__Module_html_ga66661a473fe06e47e3fd5c591b6ffe8d"><div class="ttname"><a href="group__Core__Module.html#ga66661a473fe06e47e3fd5c591b6ffe8d">Eigen::placeholders::last</a></div><div class="ttdeci">static const last_t last</div><div class="ttdef"><b>Definition:</b> IndexedViewHelper.h:44</div></div>
<div class="ttc" id="agroup__Core__Module_html_gaacce501a0e5f8d0fcd1eb92f9fa3c6e5"><div class="ttname"><a href="group__Core__Module.html#gaacce501a0e5f8d0fcd1eb92f9fa3c6e5">Eigen::placeholders::lastp1</a></div><div class="ttdeci">static const auto lastp1</div><div class="ttdef"><b>Definition:</b> IndexedViewHelper.h:172</div></div>
<div class="ttc" id="agroup__Core__Module_html_gac01f234bce100e39e6928fdc470e5194"><div class="ttname"><a href="group__Core__Module.html#gac01f234bce100e39e6928fdc470e5194">Eigen::fix</a></div><div class="ttdeci">static const auto fix()</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a0c04400203ca9b414e13c9c721399969"><div class="ttname"><a href="namespaceEigen.html#a0c04400203ca9b414e13c9c721399969">Eigen::seq</a></div><div class="ttdeci">auto seq(FirstType f, LastType l, IncrType incr)</div></div>
<div class="ttc" id="anamespaceEigen_html_a3a3c346d2a61d1e8e86e6fb4cf57fbda"><div class="ttname"><a href="namespaceEigen.html#a3a3c346d2a61d1e8e86e6fb4cf57fbda">Eigen::seqN</a></div><div class="ttdeci">ArithmeticSequence&lt; typename internal::cleanup_index_type&lt; FirstType &gt;::type, typename internal::cleanup_index_type&lt; SizeType &gt;::type, typename internal::cleanup_seq_incr&lt; IncrType &gt;::type &gt; seqN(FirstType first, SizeType size, IncrType incr)</div><div class="ttdef"><b>Definition:</b> ArithmeticSequence.h:99</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
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